TSTP Solution File: SYN056+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN056+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.59JgK2NEVk true

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 04:01:24 EDT 2023

% Result   : Theorem 0.23s 0.74s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   44 (   3 unt;   8 typ;   0 def)
%            Number of atoms       :   95 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  207 (  54   ~;  49   |;   1   &;  94   @)
%                                         (   4 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   8 usr;   5 con; 0-1 aty)
%            Number of variables   :   40 (   0   ^;  38   !;   2   ?;  40   :)

% Comments : 
%------------------------------------------------------------------------------
thf(big_p_type,type,
    big_p: $i > $o ).

thf(big_r_type,type,
    big_r: $i > $o ).

thf(sk__type,type,
    sk_: $i ).

thf(big_q_type,type,
    big_q: $i > $o ).

thf(big_s_type,type,
    big_s: $i > $o ).

thf(sk__2_type,type,
    sk__2: $i ).

thf(sk__1_type,type,
    sk__1: $i ).

thf(sk__3_type,type,
    sk__3: $i ).

thf(pel26,conjecture,
    ( ! [X: $i] :
        ( ( big_p @ X )
       => ( big_r @ X ) )
  <=> ! [Y: $i] :
        ( ( big_q @ Y )
       => ( big_s @ Y ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ! [X: $i] :
          ( ( big_p @ X )
         => ( big_r @ X ) )
    <=> ! [Y: $i] :
          ( ( big_q @ Y )
         => ( big_s @ Y ) ) ),
    inference('cnf.neg',[status(esa)],[pel26]) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_q @ X0 )
      | ( big_s @ X0 )
      | ~ ( big_p @ X1 )
      | ( big_r @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(pel26_2,axiom,
    ! [X: $i,Y: $i] :
      ( ( ( big_p @ X )
        & ( big_q @ Y ) )
     => ( ( big_r @ X )
      <=> ( big_s @ Y ) ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_p @ X0 )
      | ~ ( big_q @ X1 )
      | ( big_r @ X0 )
      | ~ ( big_s @ X1 ) ),
    inference(cnf,[status(esa)],[pel26_2]) ).

thf(zip_derived_cl76,plain,
    ! [X0: $i,X1: $i] :
      ( ( big_r @ X1 )
      | ~ ( big_p @ X1 )
      | ~ ( big_q @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl4,zip_derived_cl3]) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_p @ X0 )
      | ~ ( big_q @ X1 )
      | ( big_s @ X1 )
      | ~ ( big_r @ X0 ) ),
    inference(cnf,[status(esa)],[pel26_2]) ).

thf(zip_derived_cl6,plain,
    ( ~ ( big_s @ sk__2 )
    | ( big_p @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl58,plain,
    ! [X0: $i] :
      ( ~ ( big_r @ X0 )
      | ~ ( big_q @ sk__2 )
      | ~ ( big_p @ X0 )
      | ( big_p @ sk__3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl6]) ).

thf(zip_derived_cl8,plain,
    ( ( big_q @ sk__2 )
    | ( big_p @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl67,plain,
    ! [X0: $i] :
      ( ( big_p @ sk__3 )
      | ~ ( big_p @ X0 )
      | ~ ( big_r @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl58,zip_derived_cl8]) ).

thf(zip_derived_cl78,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_q @ X1 )
      | ~ ( big_p @ X0 )
      | ( big_p @ sk__3 )
      | ~ ( big_p @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl76,zip_derived_cl67]) ).

thf(zip_derived_cl83,plain,
    ! [X0: $i,X1: $i] :
      ( ( big_p @ sk__3 )
      | ~ ( big_p @ X0 )
      | ~ ( big_q @ X1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl78]) ).

thf(zip_derived_cl76_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( big_r @ X1 )
      | ~ ( big_p @ X1 )
      | ~ ( big_q @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl4,zip_derived_cl3]) ).

thf(zip_derived_cl2_002,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_p @ X0 )
      | ~ ( big_q @ X1 )
      | ( big_s @ X1 )
      | ~ ( big_r @ X0 ) ),
    inference(cnf,[status(esa)],[pel26_2]) ).

thf(zip_derived_cl5,plain,
    ( ~ ( big_s @ sk__2 )
    | ~ ( big_r @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl57,plain,
    ! [X0: $i] :
      ( ~ ( big_r @ X0 )
      | ~ ( big_q @ sk__2 )
      | ~ ( big_p @ X0 )
      | ~ ( big_r @ sk__3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl5]) ).

thf(zip_derived_cl7,plain,
    ( ( big_q @ sk__2 )
    | ~ ( big_r @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl59,plain,
    ! [X0: $i] :
      ( ~ ( big_r @ sk__3 )
      | ~ ( big_p @ X0 )
      | ~ ( big_r @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl57,zip_derived_cl7]) ).

thf(zip_derived_cl60,plain,
    ( ~ ( big_r @ sk__3 )
    | ~ ( big_p @ sk__3 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl59]) ).

thf(zip_derived_cl81,plain,
    ! [X0: $i] :
      ( ~ ( big_q @ X0 )
      | ~ ( big_p @ sk__3 )
      | ~ ( big_p @ sk__3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl76,zip_derived_cl60]) ).

thf(zip_derived_cl84,plain,
    ! [X0: $i] :
      ( ~ ( big_p @ sk__3 )
      | ~ ( big_q @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl81]) ).

thf(zip_derived_cl118,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_q @ X1 )
      | ~ ( big_p @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl83,zip_derived_cl84]) ).

thf(pel26_1,axiom,
    ( ? [X: $i] : ( big_p @ X )
  <=> ? [Y: $i] : ( big_q @ Y ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i] :
      ( ( big_q @ sk__1 )
      | ~ ( big_p @ X0 ) ),
    inference(cnf,[status(esa)],[pel26_1]) ).

thf(zip_derived_cl119,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_p @ X0 )
      | ~ ( big_p @ X1 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl118,zip_derived_cl0]) ).

thf(zip_derived_cl128,plain,
    ! [X0: $i] :
      ~ ( big_p @ X0 ),
    inference(condensation,[status(thm)],[zip_derived_cl119]) ).

thf(zip_derived_cl8_003,plain,
    ( ( big_q @ sk__2 )
    | ( big_p @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i] :
      ( ( big_p @ sk_ )
      | ~ ( big_q @ X0 ) ),
    inference(cnf,[status(esa)],[pel26_1]) ).

thf(zip_derived_cl45,plain,
    ( ( big_p @ sk__3 )
    | ( big_p @ sk_ ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl1]) ).

thf(zip_derived_cl0_004,plain,
    ! [X0: $i] :
      ( ( big_q @ sk__1 )
      | ~ ( big_p @ X0 ) ),
    inference(cnf,[status(esa)],[pel26_1]) ).

thf(zip_derived_cl1_005,plain,
    ! [X0: $i] :
      ( ( big_p @ sk_ )
      | ~ ( big_q @ X0 ) ),
    inference(cnf,[status(esa)],[pel26_1]) ).

thf(zip_derived_cl46,plain,
    ! [X0: $i] :
      ( ~ ( big_p @ X0 )
      | ( big_p @ sk_ ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl1]) ).

thf(zip_derived_cl52,plain,
    ( ( big_p @ sk_ )
    | ( big_p @ sk_ ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl46]) ).

thf(zip_derived_cl55,plain,
    big_p @ sk_,
    inference(simplify,[status(thm)],[zip_derived_cl52]) ).

thf(zip_derived_cl131,plain,
    $false,
    inference('s_sup+',[status(thm)],[zip_derived_cl128,zip_derived_cl55]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYN056+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.59JgK2NEVk true
% 0.18/0.36  % Computer : n015.cluster.edu
% 0.18/0.36  % Model    : x86_64 x86_64
% 0.18/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.36  % Memory   : 8042.1875MB
% 0.18/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.36  % CPULimit : 300
% 0.18/0.36  % WCLimit  : 300
% 0.18/0.36  % DateTime : Sat Aug 26 19:34:38 EDT 2023
% 0.18/0.36  % CPUTime  : 
% 0.18/0.36  % Running portfolio for 300 s
% 0.18/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.36  % Number of cores: 8
% 0.18/0.37  % Python version: Python 3.6.8
% 0.18/0.37  % Running in FO mode
% 0.23/0.64  % Total configuration time : 435
% 0.23/0.64  % Estimated wc time : 1092
% 0.23/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.74  % Solved by fo/fo6_bce.sh.
% 0.23/0.74  % BCE start: 9
% 0.23/0.74  % BCE eliminated: 0
% 0.23/0.74  % PE start: 9
% 0.23/0.74  logic: neq
% 0.23/0.74  % PE eliminated: 0
% 0.23/0.74  % done 27 iterations in 0.018s
% 0.23/0.74  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.23/0.74  % SZS output start Refutation
% See solution above
% 0.23/0.74  
% 0.23/0.74  
% 0.23/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.74  % Terminating...
% 0.23/0.85  % Runner terminated.
% 0.23/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------